The St. James Theater is one of the largest theaters in New York City, with a seating capacity of 1600. They sell two different types of tickets, pre-sale and at-the-door. This combination of seats can be represented by the equation x + y = 1600. If the theater is sold out, choose the combination below that is not a possible combination of pre-sale and at-the-door tickets.

A. Pre-sale: 1600, At-the-door: 0
B. Pre-sale: 1200, At-the-door: 400
C. Pre-sale: 522, At-the-door: 1078
D. Pre-sale: 847, At-the-door: 700

Question

The St. James Theater is one of the largest theaters in New York City, with a seating capacity of 1600. They sell two different types of tickets, pre-sale and at-the-door. This combination of seats can be represented by the equation x + y = 1600. If the theater is sold out, choose the combination below that is not a possible combination of pre-sale and at-the-door tickets.

	A.	Pre-sale: 1600, At-the-door: 0
	B.	Pre-sale: 1200, At-the-door: 400
	C.	Pre-sale: 522, At-the-door: 1078
	D.	Pre-sale: 847, At-the-door: 700

anonymous · Answer

It would just be the combination of presale and at the door tickets that doesn't sum up to be 1600. So, D, which equals 1547.